Question

The figure below shows triangle NRM with r2 = m2 + n2:

Answer 1

Answer: Square Root Property of Equality

Step-by-step explanation:

If we have an equation with a perfect square on both sides , then Square Root Property of Equality says that we can take square root on both the sides to solve the equation and the equality remains same.

From the given proof , the statement 3. gives  $f^2=r^2$

Then by applying Square Root Property of Equality, we can take square root on both sides, we get

$f=r$ which is the statement 4.

Hence, the correct answer is "Square Root Property of Equality".

Answer 2

Answer:

The correct answer is square root property of equality.

Step-by-step explanation:

Triangle NRM has legs m and n and r is the length of its longest side.

Ben constructed a right triangle EFD with legs m and n and hypotenuse f.

It means that both the triangles have legs with sides m and n beside that the third side of NRM is equal to the third side EFD, i.e ⇒ f =r(statement 4) which is proved by the square root property of equality.

Thus the correct option is  square root property of equality....